Question

for all n greater than or equal to 1, show that 5 divides 8n-3n

for all n greater than or equal to 1, show that 5 divides 8n-3n

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
“For every nonnegative integer n, (8n – 3n) is a multiple of 5.” (That is, “For...
“For every nonnegative integer n, (8n – 3n) is a multiple of 5.” (That is, “For every n≥0, (8n – 3n) = 5m, for some m∈Z.” ) State what must be proved in the basis step.     Prove the basis step.     State the conditional expression that must be proven in the inductive step.   State what is assumed true in the inductive hypothesis. For this problem, you do not have to complete the inductive step proof. However, assuming the inductive step proof...
Test the series for convergence or divergence. ∞ (−1)n 8n − 5 9n + 5 n...
Test the series for convergence or divergence. ∞ (−1)n 8n − 5 9n + 5 n = 1 Step 1 To decide whether ∞ (−1)n 8n − 5 9n + 5 n = 1 converges, we must find lim n → ∞ 8n − 5 9n + 5 . The highest power of n in the fraction is 1    1 . Step 2 Dividing numerator and denominator by n gives us lim n → ∞ 8n − 5 9n +...
Use Mathematical Induction to prove that 3n < n! if n is an integer greater than...
Use Mathematical Induction to prove that 3n < n! if n is an integer greater than 6.
Use Mathematical Induction to prove that for any odd integer n >= 1, 4 divides 3n+1.
Use Mathematical Induction to prove that for any odd integer n >= 1, 4 divides 3n+1.
Let p(n) = 3^(3n−2) + 2^(3n+1) for each n ∈ N Show that p(n + 1)...
Let p(n) = 3^(3n−2) + 2^(3n+1) for each n ∈ N Show that p(n + 1) − p(n) = 26(3^(3n−2 )) + 7(2^(3n+1)). Prove that p(n) is divisible by 19
for all positive integers n, 9^n=8n+1(mod16)
for all positive integers n, 9^n=8n+1(mod16)
Show: ∀ n ≥ 7, n! > 3n
Show: ∀ n ≥ 7, n! > 3n
Show all the steps... Prove by induction that 3n < 2n  for all n ≥ ______. (You...
Show all the steps... Prove by induction that 3n < 2n  for all n ≥ ______. (You should figure out what number goes in the blank.)
Let n greater than or equal to 1 be a positive integers, and let X1, X2,.....,...
Let n greater than or equal to 1 be a positive integers, and let X1, X2,....., Xn be closed subsets of R. Show that X1 U X2 U ... Xn is also closed.
For X~N(100, 20) - 40 is greater than or equal to__ 60 is greater than or...
For X~N(100, 20) - 40 is greater than or equal to__ 60 is greater than or equal to__ of values. 80 is less than or equal to__ of values.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT